PMID: 15244737Jul 13, 2004Paper

Crossing the elliptic region in a hyperbolic system with change-of-type behavior arisingin flow between two parallel plates

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
L TalonY C Yortsos

Abstract

Change-of-type behavior from hyperbolic to elliptic is common to quasilinear hyperbolic systems. This issue is addressed here for the particular case of miscible flow of three fluids between two parallel plates. Change of type occurs at the leading edge of the displacement front and reflects the failing of the equilibrium assumption, necessary for the quasilinear hyperbolic formalism, at the front. To cross the elliptic region requires the solution of the full, higher-dimensionality problem, obtained here using lattice gas simulations. For the specific example, it is found that the system self-selects a front structure independent of injection conditions.

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